Cancellation of anomalies in a path integral formulation for classical field theories
Abstract
Some symmetries can be broken in the quantization process (anomalies) and this breaking is signalled by a noninvariance of the quantum path integral measure. In this talk we show that it is possible to formulate also classical field theories via path integral techniques. The associated classical functional measure is larger than the quantum one, because it includes some auxiliary fields. For a fermion coupled with a gauge field we prove that the way these auxiliary fields transform compensates exactly the Jacobian which arises from the transformation of the fields appearing in the quantum measure. This cancels the quantum anomaly and restores the symmetry at the classical level.
 Publication:

arXiv eprints
 Pub Date:
 July 2005
 arXiv:
 arXiv:hepth/0507066
 Bibcode:
 2005hep.th....7066M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages